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Finding the Fourth Proportional to 689.38, 951.96 and 514.42

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Solution

The fourth proportional to 689.38, 951.96 and 514.42 is: 710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.38 : 951.96 = 514.42 : x
  2. Step 2: Convert to fraction form
    689.38/951.96 = 514.42/x
  3. Step 3: Cross multiply
    689.38x = 951.96 × 514.42
  4. Step 4: Simplify right side
    689.38x = 489,707.26
  5. Step 5: Solve for x
    x = 489,707.26/689.38
  6. Step 6: Final answer
    x = 710.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.